Two radioactive elements $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_A$ and $\lambda_B$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.
Two radioactive elements $A$ and $B$ initially have same number of atoms. The half life of $A$ is same as the average life of $B$. If $\lambda_A$ and $\lambda_B$ are decay constants of $A$ and $B$ respectively, then choose the correct relation from the given options.
- [JEE MAIN 2023]
- A
$\lambda_{ A }=\lambda_{ B }$
- B
$\lambda_{ A }=2 \lambda_{ B }$
- C
$\lambda_{ A }=\lambda_{ B } \ln 2$
- D
$\lambda_{ A } \ln 2=\lambda_{ B }$
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- [JEE MAIN 2019]
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Match the nuclear processes given in column $I$ with the appropriate option$(s)$ in column $II$
column $I$
column $II$
$(A.)$Nuclear fusion
$(P.)$ Absorption of thermal neutrons by ${ }_{92}^{213} U$
$(B.)$Fission in a nuclear reactor
$(Q.)$ ${ }_{27}^{60} Co$ nucleus
$(C.)$ $\beta$-decay
$(R.)$ Energy production in stars via hydrogen conversion to helium
$(D.)$ $\gamma$-ray emission
$(S.)$ Heavy water
$(T.)$ Neutrino emission
Match the nuclear processes given in column $I$ with the appropriate option$(s)$ in column $II$
| column $I$ | column $II$ |
| $(A.)$Nuclear fusion | $(P.)$ Absorption of thermal neutrons by ${ }_{92}^{213} U$ |
| $(B.)$Fission in a nuclear reactor | $(Q.)$ ${ }_{27}^{60} Co$ nucleus |
| $(C.)$ $\beta$-decay | $(R.)$ Energy production in stars via hydrogen conversion to helium |
| $(D.)$ $\gamma$-ray emission | $(S.)$ Heavy water |
| $(T.)$ Neutrino emission |
- [IIT 2015]